Question

For matrix A,(A^3) = I, A^-1 is equals to _________

(a) A^2

(b) A^-2

(c) Can’t say

(d) None of the mentioned

I had been asked this question at a job interview.

I would like to ask this question from Inverse of Matrices in division Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

Answer 1

Right option is (a) A^2

For explanation I would say: A(A^2) = I this implies A^-1 = A^2.